This update reports changes in the Nation's timber resource since the Analysis of the Timber Situation in the United States was completed in 2003. Prospective trends in demands for and supplies of timber, and the factors that affect these trends are examined. These trends include changes in the U.S. economy, increased salvage of British Columbia beetle-killed timber, and a stronger U.S. dollar. Other prospective trends that might alter the future timber situation are discussed including changes in U.S. timberland area, reductions in southern pine plantation establishment, impacts of climate change on forest productivity, increased restoration thinning on Western public lands, and the impact of programs to increase carbon sequestration through afforestation. Various management implications such as the influence of prices on forest management, concerns about changes in forest area, the emerging open space issue, forests as a set of commons, seeking to find greater compatibility in forest management, and the stewardship agenda are discussed.

This study gives an overview of the current inventory status and the projection of future forest inventories on other public timberland. Other public lands are lands administered by state, local, and federal government but excluding National Forest System lands. These projections were used as part of the 2005 USDA Forest Service Resource Planning Act timber assessment update. The projections were made by region and forest type by using the modified Aggregated Timberland Assessment System and the forest inventory data with methods and procedures consistent with the methods used for private and national forest inventory projections. Although the projected inventory volume differs by region, both softwood and hardwood inventories on other public timberlands in the United States are projected to increase over 60 percent during the next 50 years. Forest net growth exceeds harvest in most regions pushing inventory volumes up. The one exception is the Pacific Northwest East (ponderosa pine region) where the softwood inventory is expected to decrease until 2030 owing to lower softwood net growth and then slowly increase. The mature and old mature stands for both softwood and hardwood are projected to increase significantly for all regions especially in the South region where proportion of mature and old mature increases from 9 to 54 percent for softwood and 4 to 55 percent for hardwood.

In spring 2006 and 2007, sawmill capacity and wood utilization information was collected for selected mills in southeast Alaska. The collected information is required to prepare information for compliance with Section 705(a) of the Tongass Timber Reform Act. The total estimated design capacity in the region (active and inactive mills) was 289,850 thousand board feet (mbf) Scribner log scale in calendar year (CY) 2005 and 284,350 mbf in CY 2006. The estimated design capacity of active mills was 259,850 mbf for CY 2005 and 247,850 mbf for CY 2006. This is a 2.9-percent decrease in active design capacity from CY 2004 (255,350 mbf) to CY 2006. The estimated volume of material processed during CY 2006 was 32,141 mbf Scribner log scale. This is a 3.6-percent increase over CY 2004 (31,027 mbf Scribner log scale).

This report updates data and comparisons from previous reports (Curtis and others 2000, Curtis 2008) on a series of precommercial thinning and yield trials in high-elevation true fir–hemlock stands, using data from the 12 replicates for which 20-year data are now available. The stands were varying mixtures of Pacific silver fir (Abies amabilis (Douglas ex Loudon) Douglas ex Forbes), western hemlock (Tsuga heterophylla (Raf.) Sarg.), and noble fir (Abies procera Rehder). Trends noted in the 2008 report continue. Increment in top height was somewhat reduced at wide spacings. Volume increment and basal area increment increased as the residual number of trees increased. There was a small increase in diameter increment of the 80 largest trees per acre at wide spacing. Relative stand densities on the unthinned plots, as measured by stand density index (SDI) and relative density (RD), are still increasing; it appears that the maximum (not yet attained) is probably at least 20 to 25 percent greater than values observed in Douglas-fir.

Efforts to amend the Tongass National Forest Land Management Plan have necessitated the development of several management scenarios to assist with planning efforts.

This update reports changes in the Nation's timber resource since the Analysis of the Timber Situation in the United States was completed in 2003. Prospective trends in demands for and supplies of timber, and the factors that affect these trends are examined. These trends include changes in the U.S. economy, increased salvage of British Columbia beetle-killed timber, and a stronger U.S. dollar. Other prospective trends that might alter the future timber situation are discussed including changes in U.S. timberland area, reductions in southern pine plantation establishment, impacts of climate change on forest productivity, increased restoration thinning on Western public lands, and the impact of programs to increase carbon sequestration through afforestation. Various management implications such as the influence of prices on forest management, concerns about changes in forest area, the emerging open space issue, forests as a set of commons, seeking to find greater compatibility in forest management, and the stewardship agenda are discussed.

Home Bargains says it is taking steps to ensure the safety of shoppers and staff just days after an incident at the store in South Shields

Find out the latest from the organisers of the North East's biggest sporting event of the year - the 13.1-mile route between Newcastle and South Shields

All the latest Newcastle United takeover headlines including updates from Lomana LuaLua and Shola Ameobi

All the latest Newcastle United takeover headlines with updates on the Saudi Public Investment Fund and Gary Neville

Now all of your favorite ALLACCESS.COM content is always current and available in the palm of your hand on your mobile device with an optimized, responsive layout. Use the horizontal slider … more

A full list of events and gigs which have been rescheduled, cancelled or postponed across Belfast for the coming months

Statement Highlights: High cholesterol, at any age, can increase a person’s lifetime risk for heart disease and stroke. A healthy lifestyle is the first step in prevention and treatment to lower that risk. The 2018 guidelines recommend more detailed risk assessments to help health care providers better determine a person’s individualized risk and treatment options. In some cases, a coronary artery calcium score can help determine a person’s need for cholesterol-lowering treatment, if their risk status is uncertain or if the treatment decision isn't clear.

Focused Update Highlights: Newer anticoagulants, known as non-vitamin K oral anticoagulants (NOACs), are recommended over the traditional warfarin to prevent stroke in people with atrial fibrillation (AFib). Weight loss is recommended for overweight or obese people with AFib.

Research Highlights: Most home blood pressure monitoring devices sold in Australia by global e-commerce sites such as Amazon and eBay have not been validated (tested for accuracy). Using an unvalidated device could lead to incorrect at-home blood...

The dates have been announced for WordCamp San Francisco 2013, an event which is often heralded as the annual WordPress conference. WordCamp San Francisco 2013 will be held on July 26 and 27 at the Mission Bay Conference Center with a Developer Hack Day on July 28. A list of speakers is not yet available, but they would like you to nominate your favorite past WordCamp speakers. Will you be attending WordCamp San Francisco this year?

Iowa Gov. Kim Reynolds is providing an update on coronavirus in Iowa at 11:00 a.m. today. She is speaking from the State Emergency Operations Center in Johnston. The news conference will be...

Gazette awards more than $60,000 in marketing grants The Gazette has awarded more than $60,000 in grants to help local businesses market themselves during the coronavirus pandemic, and there’s...

4:43 P.M.: GOODWILL PLANS TO REOPEN 11 EASTERN IOWA RETAIL LOCATIONS Goodwill of the Heartland will reopen 11 retail locations in Eastern Iowa next week, including all its Cedar Rapids stores,...

11 a.m. Iowa sees 214 more positive tests for coronavirus The Iowa Department of Public Health on Saturday reported nine more deaths from COVID-19, for a total of 252 since March 8. An additional 214...

Iowa Gov. Kim Reynolds is providing an update on coronavirus in Iowa at 11:00 a.m. today.

She is speaking from the State Emergency Operations Center in Johnston. The news conference will be livestreamed and viewable on this page.

Coronavirus hospitalizations have continued a steady increase, with more than 400 Iowans presently admitted for COVID-19.

Gazette awards more than $60,000 in marketing grants

The Gazette has awarded more than $60,000 in grants to help local businesses market themselves during the coronavirus pandemic, and there’s more help available.

“We awarded $50,000 in the first 10 days,” said Kelly Homewood, Director of Operations at The Gazette. “That tells us the need is real. The help necessary. We’re a locally owned business too, and in Iowa we lift each other up in challenging times.”

The grant program, which launched April 17, awarded $50,393 to more than 60 businesses in the first 10 days. To date, almost $68,000 has been awarded to 75 businesses.

“The Gazette’s Matching Program is a true testament to their commitment to our community and their small business advertisers,” said Annie Hills, marketing manager at Destinations Unlimited. “As a local small business, this program will be a huge benefit to our agency in such an unprecedented time so that we can continue to connect with our clients.”

The program allocates up to $100,000 in matching advertising dollars to assist local businesses that apply. There’s still approximately $32,000 in matching grants still available to award by July 31. Businesses can apply online at www.thegazette.com/marketinggrant.

The Federal Emergency Management Agency (FEMA) has obligated $78 million to the state of Iowa to help reimburse eligible expenses for emergency protective measures that the state has incurred as a result of its response to COVID-19.

The grant funds, awarded by FEMA’s Public Assistance (PA) Grant Program, were made available Thursday. FEMA has provided nearly $150 million to date in support of the state’s COVID-19 efforts.

The money reimburses 75 percent of projected eligible costs associated with buying essential Personal Protective Equipment (PPE), and medical supplies and equipment during the months of May and June 2020.

This obligation also includes: $19.5 million in contract services for TestIowa, $35,000 in contract services associated with overseas PPE purchases and $13.7 million for additional medical supplies and equipment for the month of April. All figures represent the 75 percent federal share. The 25 percent is paid by the grant recipient.

Iowa Gov. Kim Reynolds issued a new proclamation allowing campgrounds in the state of Iowa to open.

The proclamation states:

“Any public or private campground may reopen provided that the campground implements reasonable measures under the circumstances of each campground to ensure social distancing, increased hygiene practices, and other public health measures to reduce the risk of transmission of COVID-19 consistent with guidance issued by the Iowa Department of Public Health (5/6/20).”

Linn County Conservation has continued to seek guidance from local and state health officials and are announcing that campgrounds will open Friday with certain restrictions and limitations.

At 5 a.m. on May 8, Buffalo Creek Park, Morgan Creek Park, Pinicon Ridge Park and Squaw Creek Park campgrounds will open to campers in self-contained units. This also includes primitive (non-electric) camping areas at Matsell Bridge Natural Area (including Mount Hope) and Wakpicada Natural Area.

Campers may camp only with a self-contained camping unit that has a functioning restroom, as showerhouses with flushable restrooms will remain closed. Self-contained is defined as a tent or pop-up camper with a portable toilet or an RV or camping trailer with a functioning, self-contained bathroom.

Occupants are limited to six or less per camp site (unless household is more than six). No visitors are allowed. Campground showerhouses with restrooms will remain closed.

Reserving campsites is not allowed as campgrounds continue to be first-come, first-served. The exception to this is Squaw Creek Park A-Loop which normally accepts online reservations at LinnCountyParks.com, starting Friday at 1 p.m.

Linn County Conservation’s lodges, shelters, cabins and group camps remain closed.

Hy-Vee Inc., announced Friday that it is now offering a two-hour express pickup option as part of its Hy-Vee Aisles Online grocery ordering service, allowing customers to pay a fee to pick up their order faster.

Customers will see a “Get It Faster” option on Aisles Online time slots where the two-hour pickup option is available. A limited number of two-hour pickup orders will be available for $9.95, from 8 a.m. until 8 p.m. daily, at all Hy-Vee store locations offering Aisles Online services.

The lights on Alliant Energy’s Cedar Rapids Tower will change colors to recognize area high schools and honor the Class of 2020.

“In this time of uncertainty, it’s important to remember that brighter days are up ahead,”

said Linda Mattes, Vice President of IT and Customer Operations. “Changing the lights on our tower is our way of celebrating this important milestone in the lives of these students and their families.”

Each Cedar Rapids-area high school’s colors will be on display. The schedule:

May 21 — Washington High School — Red and blue

May 22 — Jefferson High School — Blue and white

May 23 — Kennedy High School — Green and gold

May 24 — Linn-Mar High School — Red and black

May 25 — Marion High School — Crimson and gold

May 26 — Prairie High School — Orange and black

May 27 — Xavier High School — Navy and silver

May 28 — Metro High School — Purple and black

MusicIC Festival cancels June in-person programming

What was planned to be the 10th annual MusicIC Festival has been canceled. Programming planned for June 18-20 will be pushed to summer 2021.

The festival, presented by the Iowa City UNESCO City of Literature, will offer alternate programming. In place of the in-person performances this year, the festival will offer video performances from musicians to be highlighted in the 2021 season.

Details about these video performances will be forthcoming.

Due to the ongoing social distancing guidelines and additional precautions taking place to help slow and reduce the spread of COVID-19, the Linn County Fair Association is canceling the grounds and grandstand entertainment for the 2020 Linn County Fair, scheduled for June 24-28.

The Linn County Fair Association, in partnership with the Iowa State University Extension and Outreach of Linn County and Linn County 4-H, still plan on providing opportunities to 4-Her’s, FFA members, and youth of Linn County to showcase their talents and accomplishments at this year’s fair.

Details regarding the 4-H/FFA exhibits and events are still being finalized and Linn County 4-H plans to email details to 4-H/FFA members in mid-May.

To encourage safe and responsible social distancing practices during the COVID-19 pandemic, Cedar Rapids’ Bike to Work Week activities — traditionally held in May — will be postponed and are tentatively scheduled for September 21-27.

This will include events such as the Mayor’s bike ride and proclamation, pit stops, group rides, and wrap-up party.

Von Maur announced it will reopen stores in Cedar Rapids, Coralville and Cedar Falls using reduced hours and safety measures starting Friday.

The reduced hours will be from 11 a.m. to 7 p.m. Monday through Saturday and 12 p.m. to 6 p.m. on Sundays.

Von Maur said it will be implementing daily employee health screenings, social distancing measures, contactless payments, curbside service options and sanitizing and cleaning procedures in common areas and after each customer transaction. Its aforementioned stores are at Lindale Plaza, Iowa River Landing and College Square Mall.

Online Czech language lessons offered

The National Czech & Slovak Museum & Library recently partnered with Anna Cooková, an instructor with CzechTalk, to offer online Czech language and culture lessons.

Beginner’s Czech Language & Culture I begins on Thursday, June 4. Each class will be held from 8 to 9:30 p.m. every Thursday from June 4 through August 6. During the 15 hours of instruction over 10 weeks, participants will learned to read, write, and speak in Czech.

The cost is $210 for NCSML members, $235 for non-members. This fee includes all course materials. The class size is limited to 20 students, so interested individuals are encouraged to register early to secure a spot.

Contact Cooková for a registration form at annacookova@gmail.com or 715-651-7044.

Goodwill of the Heartland will reopen 11 retail locations in Eastern Iowa next week, including all its Cedar Rapids stores, according to an announcement on the Goodwill Facebook page. Stores in Marion, Coralville, Iowa City, Washington, Bettendorf, Davenport and Muscatine also will resume business Monday, starting with accepting donations only.

Locations will be open to shoppers, beginning Friday, May 15, and run from 11 a.m.-6 p.m. Monday through Saturday and from noon-5 p.m. Sunday.

All customers are required to wear face masks to enter the store. For more information, including safety guidelines, visit the Goodwill website.

The Iowa Department of Natural Resources encourage visitors to recently reopened campgrounds to check the DNR website for temporary closures before traveling to any of the areas. Campgrounds started to open Friday for walk-in, first come, first served campers with self-contained restrooms, according to a news release.

Some parks and campgrounds have closures due construction or other maintenance projects. Staff will monitor the areas closely, reminding visitors to practice physical distancing guidelines and other policies issued by the DNR earlier this week.

Some pit latrines in high-use areas will be open, but all other restrooms, drinking fountains and shower facilities will be closed. Park visitors are asked to use designated parking areas and follow all park signs.

The DNR’s reservation system for reservable campgrounds is available online, taking reservations for Monday and later.

Iowa has 68 state parks and four state forests, including hiking trails, lake recreation and camping. For more information, visit the DNR website.

The next Cedar Rapids City Council meeting will be hosted virtually. The meeting will be held May 12, beginning at noon. The livestream is available at the city’s Facebook page. Indexed videos can be accessed on the City of Cedar Rapids website.

The public is invited to provide comments, submitting written comments via email to cityclerk@cedar-rapids.org before the meeting or joining the Zoom conference call and registering here before 2 p.m. Tuesday. Registrants will receive an email with instructions to participate. Written comments received before 2 p.m. the day of the meeting will be given to City Council members before the event.

The public will only be invited to speak during designated public comment sections of the meeting. Please visit the City’s website for speaking guidelines. City Hall remains closed to the public. No in-person participation is available.

Tuesday’s meeting agenda will be posted to the website by 4 p.m. Friday.

Michael Buble’s “An Evening with Michael Buble” Tour has rescheduled dates to 2021. The 26-date series of concerts will begin February 6 in Salt Lake City and conclude March 25 in Jacksonville, Fla., according to a news release Friday.

Bubble’s shows at TaxSlayer Center in Moline, Ill., has been switched to Feb. 20, 2021. He will perform at Wells Fargo Arena in Des Moines the following day.

Tickets for previously scheduled dates will be honored.

“I am so looking forward to getting back on stage,” Buble said in the release. “I’ve missed my fans and my touring family. Meantime, I hope everyone stays safe. We can all look forward to a great night out.”

Buble also just completed a series of Facebook Live shows while in quarantine with his family in Vancouver.

Comments: (319) 368-8679; kj.pilcher@thegazette.com

11 a.m. Iowa sees 214 more positive tests for coronavirus

The Iowa Department of Public Health on Saturday reported nine more deaths from COVID-19, for a total of 252 since March 8.

An additional 214 people tested positive for the virus, bringing the state’s total to 11,671.

A total of 71,476 Iowans have been tested for COVID-19, the department reported.

With Saturday’s new figures from the Department of Public Health, these are the top 10 counties in terms of total cases:

• Polk — 2194

• Woodbury — 1554

• Black Hawk — 1477

• Linn — 819

• Marshall — 702

• Dallas — 660

• Johnson — 549

• Muscatine — 471

• Tama — 327

• Louisa — 282.

Today we released free updates for the Auphonic Leveler Batch Processor and the Auphonic Multitrack Processor with many algorithm improvements and bug fixes for Mac and Windows.

Changelog

• Linear Filtering Algorithms to avoid Asymmetric Waveforms:
  New zero-phase Adaptive Filtering Algorithms to avoid asymmetric waveforms.
  In asymmetric waveforms, the positive and negative amplitude values are disproportionate - please see Asymmetric Waveforms: Should You Be Concerned?.
  Asymmetrical waveforms are quite natural and not necessarily a problem. They are particularly common on recordings of speech, vocals and can be caused by low-end filtering. However, they limit the amount of gain that can be safely applied without introducing distortion or clipping due to aggressive limiting.
• Noise Reduction Improvements:
  New and improved noise profile estimation algorithms and bug fixes for parallel Noise Reduction Algorithms.
• Processing Finished Notification on Mac:
  A system notification (including a short glass sound) is now displayed on Mac OS when the Auphonic Leveler or Auphonic Multitrack has finished processing - thanks to Timo Hetzel.
• Improved Dithering:
  Improved dithering algorithms - using SoX - if a bit-depth reduction is necessary during file export.
• Auphonic Multitrack Fixes:
  Fixes for ducking and background tracks and for very short music tracks.
• New Desktop Apps Documentation:
  The documentation of our desktop apps is now integrated in our new help system:
  see Auphonic Leveler Batch Processor and Auphonic Multitrack Processor.
• Bug Fixes and Audio Algorithm Improvements:
  This release also includes many small bug fixes and all audio algorithms come with improvements and updated classifiers using the data from our Web Service.

About the Auphonic Desktop Apps

We offer two desktop programs which include our audio algorithms only. The algorithms will be computed offline on your device and are exactly the same as implemented in our Web Service.

The Auphonic Leveler Batch Processor is a batch audio file processor and includes all our (Singletrack) Audio Post Production Algorithms. It can process multiple productions at once.

Auphonic Multitrack includes our Multitrack Post Production Algorithms and requires multiple parallel input audio tracks, which will be analyzed and processed individually as well as combined to create one final mixdown.

Upgrade now

• Auphonic Leveler Download
• Auphonic Multitrack Download

Please let us know if you have any questions or feedback!

In late August, we launched the private beta program of our advanced audio algorithm parameters. After feedback by our users and many new experiments, we are proud to release a complete rework of the Adaptive Leveler parameters:

In the previous version, we based our Adaptive Leveler parameters on the Loudness Range descriptor (LRA), which is included in the EBU R128 specification.
Although it worked, it turned out that it is very difficult to set a loudness range target for diverse audio content, which does include speech, background sounds, music parts, etc. The results were not predictable and it was hard to find good target values.
Therefore we developed our own algorithm to measure the dynamic range of audio signals, which works similarly for speech, music and other audio content.

The following advanced parameters for our Adaptive Leveler allow you to customize which parts of the audio should be leveled (foreground, all, speech, music, etc.), how much they should be leveled (dynamic range), and how much micro-dynamics compression should be applied.

To try out the new algorithms, please join our private beta program and let us know your feedback!

Leveler Preset

The Leveler Preset defines which parts of the audio should be adjusted by our Adaptive Leveler:

• Default Leveler:
  Our classic, default leveling algorithm as demonstrated in the Leveler Audio Examples. Use it if you are unsure.
• Foreground Only Leveler:
  This preset reacts slower and levels foreground parts only. Use it if you have background speech or background music, which should not be amplified.
• Fast Leveler:
  A preset which reacts much faster. It is built for recordings with fast and extreme loudness differences, for example, to amplify very quiet questions from the audience in a lecture recording, to balance fast-changing soft and loud voices within one audio track, etc.
• Amplify Everything:
  Amplify as much as possible. Similar to the Fast Leveler, but also amplifies non-speech background sounds like noise.

Leveler Dynamic Range

Our default Leveler tries to normalize all speakers to a similar loudness so that a consumer in a car or subway doesn't feel the need to reach for the volume control.
However, in other environments (living room, cinema, etc.) or in dynamic recordings, you might want more level differences (Dynamic Range, Loudness Range / LRA) between speakers and within music segments.

The parameter Dynamic Range controls how much leveling is applied: Higher values result in more dynamic output audio files (less leveling). If you want to increase the dynamic range by 3dB (or LU), just increase the Dynamic Range parameter by 3dB.
We also like to call this Loudness Comfort Zone: above a maximum and below a minimum possible level (the comfort zone), no leveling is applied. So if your input file already has a small dynamic range (is within the comfort zone), our leveler will be just bypassed.

Example Use Cases:
Higher dynamic range values should be used if you want to keep more loudness differences in dynamic narration or dynamic music recordings (live concert/classical).
It is also possible to utilize this parameter to generate automatic mixdowns with different loudness range (LRA) values for different target environments (very compressed ones like mobile devices or Alexa, very dynamic ones like home cinema, etc.).

Compressor

Controls Micro-Dynamics Compression:
The compressor reduces the volume of short and loud spikes like "p", "t" or laughter ( short-term dynamics) and also shapes the sound of your voice (it will sound more or less "processed").
The Leveler, on the other hand, adjusts mid-term level differences, as done by a sound engineer, using the faders of an audio mixer, so that a listener doesn't have to adjust the playback volume all the time.
For more details please see Loudness Normalization and Compression of Podcasts and Speech Audio.

• Auto:
  The compressor setting depends on the selected Leveler Preset. Medium compression is used in Foreground Only and Default Leveler presets, Hard compression in our Fast Leveler and Amplify Everything presets.
• Soft:
  Uses less compression.
• Medium:
  Our default setting.
• Hard:
  More compression, especially tries to compress short and extreme level overshoots. Use this preset if you want your voice to sound very processed, our if you have extreme and fast-changing level differences.
• Off:
  No short-term dynamics compression is used at all, only mid-term leveling. Switch off the compressor if you just want to adjust the loudness range without any additional micro-dynamics compression.

Separate Music/Speech Parameters

Use the switch Separate MusicSpeech Parameters (top right), to see separate Adaptive Leveler parameters for music and speech segments, to control all leveling details separately for speech and music parts:

For dialog intelligibility improvements in films and TV, it is important that the speech/dialog level and loudness range is not too soft compared to the overall programme level and loudness range. This parameter allows you to use more leveling in speech parts while keeping music and FX elements less processed.
Note: Speech, music and overall loudness and loudness range of your production are also displayed in our Audio Processing Statistics!

Example Use Case:
Music live recordings or dynamic music mixes, where you want to amplify all speakers (speech dynamic range should be small) but keep the dynamic range within and between music segments (music dynamic range should be high).
Dialog intelligibility improvements for films and TV, without effecting music and FX elements.

Other Advanced Audio Algorithm Parameters

We also offer advanced audio parameters for our Noise, Hum Reduction and Global Loudness Normalization algorithms:

For more details, please see the Advanced Audio Algorithms Documentation.

Want to know more?

If you want to know more details about our advanced algorithm parameters (especially the leveler parameters), please listen to the following podcast interview with Chris Curran (Podcast Engineering School):
Auphonic’s New Advanced Features, with Georg Holzmann – PES 108

Advanced Parameters Private Beta and Feedback

At the moment the advanced algorithm parameters are for beta users only. This is to allow us to get user feedback, so we can change the parameters to suit user needs.
Please let us know your case studies, if you need any other algorithm parameters or if you have any questions!

Here are some private beta invitation codes:

jbwCVpLYrl 6zmLqq8o3z RXYIUbC6al QDmIZLuPKa JIrnGRZBgl SWQOWeZOBD ISeBCA9gTy w5FdsyhZVI qWAvANQ5mC twOjdHrit3
KwnL2Le6jB 63SE2V54KK G32AULFyaM 3H0CLYAwLU mp1GFNVZHr swzvEBRCVa rLcNJHUNZT CGGbL0O4q1 5o5dUjruJ9 hAggWBpGvj
ykJ57cFQSe 0OHAD2u1Dx RG4wSYTLbf UcsSYI78Md Xedr3NPCgK mI8gd7eDvO 0Au4gpUDJB mYLkvKYz1C ukrKoW5hoy S34sraR0BU
J2tlV0yNwX QwNdnStYD3 Zho9oZR2e9 jHdjgUq420 51zLbV09p4 c0cth0abCf 3iVBKHVKXU BK4kTbDQzt uTBEkMnSPv tg6cJtsMrZ
BdB8gFyhRg wBsLHg90GG EYwxVUZJGp HLQ72b65uH NNd415ktFS JIm2eTkxMX EV2C5RAUXI a3iwbxWjKj X1AT7DCD7V y0AFIrWo5l

If you have an invitation code, you can enter it here to activate the advanced audio algorithm parameters:
Auphonic Algorithm Parameters Private Beta Activation

Let $mathrm{rex}(n, F)$ denote the maximum number of edges in an $n$-vertex graph that is regular and does not contain $F$ as a subgraph. We give lower bounds on $mathrm{rex}(n, F)$, that are best possible up to a constant factor, when $F$ is one of $C_4$, $K_{2,t}$, $K_{3,3}$ or $K_{s,t}$ when $t>s!$.

We prove a Marstrand type slicing theorem for the subsets of the integer square lattice. This problem is the dual of the corresponding projection theorem, which was considered by Glasscock, and Lima and Moreira, with the mass and counting dimensions applied to subsets of $mathbb{Z}^{d}$. In this paper, more generally we deal with a subset of the plane that is $1$ separated, and the result for subsets of the integer lattice follow as a special case. We show that the natural slicing question in this setting is true with the mass dimension.

We give a complete (and surprisingly simple) description of the affine Hecke category for $ ilde{A}_2$ in characteristic zero. More precisely, we calculate the Kazhdan-Lusztig polynomials, give a recursive formula for the projectors defining indecomposable objects and, for each coefficient of a Kazhdan-Lusztig polynomial, we produce a set of morphisms with such a cardinality.

In this paper, we generalize the finiteness of models theorem in [BCHM06] to Kawamata log terminal pairs with fixed Kodaira dimension. As a consequence, we prove that a Kawamata log terminal pair with $mathbb{R}-$boundary has a canonical model, and can be approximated by log pairs with $mathbb{Q}-$boundary and the same canonical model.

This paper begins the project of defining Arthur packets of all unipotent representations for the $p$-adic exceptional group $G_2$. Here we treat the most interesting case by defining and computing Arthur packets with component group $S_3$. We also show that the distributions attached to these packets are stable, subject to a hypothesis. This is done using a self-contained microlocal analysis of simple equivariant perverse sheaves on the moduli space of homogeneous cubics in two variables. In forthcoming work we will treat the remaining unipotent representations and their endoscopic classification and strengthen our result on stability.

One proves the existence and uniqueness of a generalized (mild) solution for the nonlinear Fokker--Planck equation (FPE) egin{align*} &u_t-Delta (eta(u))+{mathrm{ div}}(D(x)b(u)u)=0, quad tgeq0, xinmathbb{R}^d, d e2, \ &u(0,cdot)=u_0,mbox{in }mathbb{R}^d, end{align*} where $u_0in L^1(mathbb{R}^d)$, $etain C^2(mathbb{R})$ is a nondecreasing function, $bin C^1$, bounded, $bgeq 0$, $Din(L^2cap L^infty)(mathbb{R}^d;mathbb{R}^d)$ with ${ m div}, Din L^infty(mathbb{R}^d)$, and ${ m div},Dgeq0$, $eta$ strictly increasing, if $b$ is not constant. Moreover, $t o u(t,u_0)$ is a semigroup of contractions in $L^1(mathbb{R}^d)$, which leaves invariant the set of probability density functions in $mathbb{R}^d$. If ${ m div},Dgeq0$, $eta'(r)geq a|r|^{alpha-1}$, and $|eta(r)|leq C r^alpha$, $alphageq1,$ $alpha>frac{d-2}d$, $dgeq3$, then $|u(t)|_{L^infty}le Ct^{-frac d{d+(alpha-1)d}} |u_0|^{frac2{2+(m-1)d}},$ $t>0$, and the existence extends to initial data $u_0$ in the space $mathcal{M}_b$ of bounded measures in $mathbb{R}^d$. The solution map $mumapsto S(t)mu$, $tgeq0$, is a Lipschitz contractions on $mathcal{M}_b$ and weakly continuous in $tin[0,infty)$. As a consequence for arbitrary initial laws, we obtain weak solutions to a class of McKean-Vlasov SDEs with coefficients which have singular dependence on the time marginal laws.

In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.

In this paper, we discuss Cameron-Liebler sets in Hamming graphs, obtain several equivalent definitions and present all classification results.

For a smooth projective variety $X$, we study analogs of Quot functors in hearts of non-standard $t$-structures of $D^b(mathrm{Coh}(X))$. The technical framework is that of families of $t$-structures, as studied in arXiv:1902.08184. We provide several examples and suggest possible directions of further investigation, as we reinterpret moduli spaces of stable pairs, in the sense of Thaddeus (arXiv:alg-geom/9210007) and Huybrechts-Lehn (arXiv:alg-geom/9211001), as instances of Quot schemes.

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter $lambda$ varies. This work continues our research published in arXiv:2004.12583, where $xi equiv 0 $ and in the reaction the parametric term is the singular one.

A topological dynamical system $(X,f)$ induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace.

We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of $(X,f)$. We also consider the entropy order of an invariant measure and a variational principle is established.

We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to the case of exponentially decaying potentials. That means that the eigenvalues of $-Delta + V - iepsilon x^2$, $|V(x)|leq e^{-2gamma |x|}$ converge, as $ epsilon o 0+ $, to the poles of the meromorphic continuation of $ ( -Delta + V -lambda^2 )^{-1} $ uniformly on compact subsets of $ extrm{Re},lambda>0$, $ extrm{Im},lambda>-gamma$, $arglambda > pi/8$.

In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique.

An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases

We construct a one-to-one continuous map from the Morse boundary of a hierarchically hyperbolic group to its Martin boundary. This construction is based on deviation inequalities generalizing Ancona's work on hyperbolic groups. This provides a possibly new metrizable topology on the Morse boundary of such groups. We also prove that the Morse boundary has measure 0 with respect to the harmonic measure unless the group is hyperbolic.

In this note, we unify and extend various concepts in the area of $G$-complete reducibility, where $G$ is a reductive algebraic group. By results of Serre and Bate--Martin--R"{o}hrle, the usual notion of $G$-complete reducibility can be re-framed as a property of an action of a group on the spherical building of the identity component of $G$. We show that other variations of this notion, such as relative complete reducibility and $sigma$-complete reducibility, can also be viewed as special cases of this building-theoretic definition, and hence a number of results from these areas are special cases of more general properties.

We introduce the conormal fan of a matroid M, which is a Lagrangian analog of the Bergman fan of M. We use the conormal fan to give a Lagrangian interpretation of the Chern-Schwartz-MacPherson cycle of M. This allows us to express the h-vector of the broken circuit complex of M in terms of the intersection theory of the conormal fan of M. We also develop general tools for tropical Hodge theory to prove that the conormal fan satisfies Poincar'e duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. The Lagrangian interpretation of the Chern-Schwartz-MacPherson cycle of M, when combined with the Hodge-Riemann relations for the conormal fan of M, implies Brylawski's and Dawson's conjectures that the h-vectors of the broken circuit complex and the independence complex of M are log-concave sequences.

In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously.

We show how to efficiently compute the derivative (when it exists) of the solution map of log-log convex programs (LLCPs). These are nonconvex, nonsmooth optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs. We focus specifically on LLCPs generated by disciplined geometric programming, a grammar consisting of a set of atomic functions with known log-log curvature and a composition rule for combining them. We represent a parametrized LLCP as the composition of a smooth transformation of parameters, a convex optimization problem, and an exponential transformation of the convex optimization problem's solution. The derivative of this composition can be computed efficiently, using recently developed methods for differentiating through convex optimization problems. We implement our method in CVXPY, a Python-embedded modeling language and rewriting system for convex optimization. In just a few lines of code, a user can specify a parametrized LLCP, solve it, and evaluate the derivative or its adjoint at a vector. This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters. We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow. Finally, we present applications to designing queuing systems and fitting structured prediction models.

Given graphs $T$ and $H$, the generalized Tur'an number ex$(n,T,H)$ is the maximum number of copies of $T$ in an $n$-vertex graph with no copies of $H$. Alon and Shikhelman, using a result of ErdH os, determined the asymptotics of ex$(n,K_3,H)$ when the chromatic number of $H$ is greater than 3 and proved several results when $H$ is bipartite. We consider this problem when $H$ has chromatic number 3. Even this special case for the following relatively simple 3-chromatic graphs appears to be challenging.

The suspension $widehat H$ of a graph $H$ is the graph obtained from $H$ by adding a new vertex adjacent to all vertices of $H$. We give new upper and lower bounds on ex$(n,K_3,widehat{H})$ when $H$ is a path, even cycle, or complete bipartite graph. One of the main tools we use is the triangle removal lemma, but it is unclear if much stronger statements can be proved without using the removal lemma.

Applying the equivariant moving frames method, we construct convergent normal forms for real-analytic 5-dimensional totally nondegenerate CR submanifolds of C^4. These CR manifolds are divided into several biholomorphically inequivalent subclasses, each of which has its own complete normal form. Moreover it is shown that, biholomorphically, Beloshapka's cubic model is the unique member of this class with the maximum possible dimension seven of the corresponding algebra of infinitesimal CR automorphisms. Our results are also useful in the study of biholomorphic equivalence problem between CR manifolds, in question.

The $(q, mathbf{Q})$-current algebra associated with the general linear Lie algebra was introduced by the second author in the study of representation theory of cyclotomic $q$-Schur algebras. In this paper, we study the $(q, mathbf{Q})$-current algebra $U_q(mathfrak{sl}_n^{langle mathbf{Q} angle}[x])$ associated with the special linear Lie algebra $mathfrak{sl}_n$. In particular, we classify finite dimensional simple $U_q(mathfrak{sl}_n^{langle mathbf{Q} angle}[x])$-modules.

Let $1 le r < n$ be integers. We give a proof that the group $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ of automorphisms of the one-sided shift on $n$ letters embeds naturally as a subgroup $mathcal{h}_{n}$ of the outer automorphism group $mathop{mathrm{Out}}(G_{n,r})$ of the Higman-Thompson group $G_{n,r}$. From this, we can represent the elements of $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ by finite state non-initial transducers admitting a very strong synchronizing condition.

Let $H in mathcal{H}_{n}$ and write $|H|$ for the number of states of the minimal transducer representing $H$. We show that $H$ can be written as a product of at most $|H|$ torsion elements. This result strengthens a similar result of Boyle, Franks and Kitchens, where the decomposition involves more complex torsion elements and also does not support practical extit{a priori} estimates of the length of the resulting product.

We also give new proofs of some known results about $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$.

In this article, we prove that the completeness of the Hamilton flow and essential self-dajointness are equivalent for real principal type operators on the circle. Moreover, we study spectral properties of these operators.